Details

analyze369.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample93.0ms

Algorithm

intervals

Results

24.0ms	47×	body	1280	valid
19.0ms	59×	body	1280	invalid
12.0ms	43×	body	640	valid
7.0ms	134×	body	80	valid
7.0ms	23×	body	320	valid
6.0ms	28×	body	640	invalid
3.0ms	21×	body	320	invalid
1.0ms	10×	body	160	invalid
1.0ms	9×	body	160	valid
1.0ms	14×	body	80	invalid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	6224	11

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series19.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify57.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5272	436

prune27.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (cos.f64 re))))
0.0b	(.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re)))
0.0b	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`pow1_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 50

Calls

3 calls:

9.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (cos.f64 re))))
7.0ms	(.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re)))
6.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))

series43.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (cos.f64 re))))
10.0ms	(.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re)))
11.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))

simplify50.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4936	596
1	4936	596

prune32.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re))))
0.0b	(.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re)))
0.1b	(/.f64 (exp.f64 im) (cos.f64 re))
0.2b	(/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64`
55×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
12×	`add-exp-log_binary64`
9×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `associate-/r/_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 126

Calls

4 calls:

16.0ms	(+.f64 (/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re))))
7.0ms	(.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re)))
4.0ms	(/.f64 (exp.f64 im) (cos.f64 re))
7.0ms	(/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+.f64 (/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re))) (.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re))))
9.0ms	(.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re)))
9.0ms	(/.f64 (exp.f64 im) (cos.f64 re))
11.0ms	(/.f64 1/2 (/.f64 (exp.f64 im) (cos.f64 re)))

simplify81.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4950	1633
1	4950	1633

prune68.0ms

Filtered

107 candidates to 138 candidates (-29.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	138	2	140

Merged error: 0b

Counts

140 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)
0.2b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
17×	`associate-r_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `cube-div_binary64`
4×	`cbrt-div_binary64` `flip3-+_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `prod-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`associate-*r/_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `associate-l_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

14.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)))
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
7.0ms	(pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3))

series31.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)))
3.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms	(pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5268	1144

prune40.0ms

Filtered

63 candidates to 110 candidates (-74.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

regimes98.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	13	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

763.0ms	1462×	body	1280	valid
500.0ms	1486×	body	1280	invalid
338.0ms	1217×	body	640	valid
281.0ms	1234×	body	640	invalid
245.0ms	4376×	body	80	valid
110.0ms	624×	body	320	valid
97.0ms	587×	body	320	invalid
39.0ms	321×	body	160	valid
37.0ms	335×	body	160	invalid
35.0ms	533×	body	80	invalid

Details

analyze369.0ms

sample93.0ms

simplify122.0ms

prune2.0ms

localize9.0ms

rewrite17.0ms

series19.0ms

simplify57.0ms

prune27.0ms

localize8.0ms

rewrite23.0ms

series43.0ms

simplify50.0ms

prune32.0ms

localize12.0ms

rewrite38.0ms

series50.0ms

simplify81.0ms

prune68.0ms

localize12.0ms

rewrite38.0ms

series31.0ms

simplify47.0ms

prune40.0ms

regimes98.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.7s

Profiling